chore: standardize top and bottom nav on API docs site (#16152)

# Overview

Hacking the standard opentrons.com top and bottom nav into the docs
site.

## Test Plan and Hands on Testing

Visual inspection between [sandbox for this
branch](http://sandbox.docs.opentrons.com/docs-infra-top-nav/v2/),
opentrons.com (header/footer), and `edge` [sandbox with Public
Sans](http://sandbox.docs.opentrons.com/edge/v2/) (body).

All on macOS. Mostly in Safari. Also tested Chrome.

## Changelog


![CSS](https://github.com/user-attachments/assets/38db406a-3dbd-4221-9d36-27ca3a78225e)

- Include saved versions of our `remote-nav.html` and
`remote-footer.html` files in the docs layout.
- Rescope a bunch of docs CSS rules so they aren't overridden by the
included HTML.
- Recapitulate a bunch of the header/footer rules so they aren't
overridden by the docs template.
- Adjust the height of the main body container to account for the
shorter header.
- Hide the 🔍 button in the main nav so users don't use that search in an
attempt to only search the PAPI docs.

### Follow up tasks
For another PR.
- Replicate on v1 docs
- Replicate on OT-One docs
- Replicate on hardware docs or remove hardware docs

## Review requests

- Do I know what I'm doing at all? Is this approach — saving and
importing static versions of the navs — the best we can do? As far as I
can tell, Sphinx can't fetch and include remote resources. But maybe we
could do it as part of `make -C api docs` so these don't get frozen in
time again?
- Is there any way to eliminate the brief appearance of the subnavs on
page load?
- Plz check <s>Chrome</s> Windows.

## Risk assessment

medium. there could be whole parts of the docs site that i've broken and
didn't notice.

api/docs/static/override_sphinx.css

@@ -1,26 +1,80 @@
 @import url('https://fonts.googleapis.com/css?family=Public+Sans:300,400,400i,600,700');
 @import url('https://fonts.googleapis.com/css2?family=Reddit+Mono:wght@200..900&display=swap');
 
-/* OT NAV */
+/* OT TOP NAV */
 
 body {
     padding: 0;
     margin: 0;
-    font-family: "Public Sans", "sans-serif";
 }
 
-.highlight-none, .mi, .literal {
-    color: #048f85;
+/* restate button styling */
+.text-brand-blue:hover {
+  --tw-text-opacity: 1;
+  color: rgb(0 108 250 / var(--tw-text-opacity));
+}
+
+.text-white:hover {
+  --tw-text-opacity: 1;
+  color: rgb(255 255 255 / var(--tw-text-opacity));
+}
+
+/* hack out search button */
+
+div.flex.gap-4 div.text-white.flex.items-center.h-full > button {
+    display: none;
+}
+
+/* use Akko from docs site instead of from main site */
+header a.button-sm {
+    font-family: "AkkoPro-Regular", "Akko Pro", "Open Sans", sans-serif !important;
+}
+
+/* OT FOOTER */
+
+footer {
+    padding: 0;
+}
+
+.footer-app-button:hover {
+    color: #E8E9EA;
+}
+
+/* restate newsletter form styling */
+
+footer input.hs-input {
+  margin: 0;
+  max-width: 100%;
+  width: 100%;
+  height: 42px;
+  padding-left: 1rem;
+  padding-right: 1rem;
+  padding-top: 0.5rem;
+  padding-bottom: 0.5rem;
+  font-size: 1rem;
+  --tw-text-opacity: 1;
+  color: rgb(112 112 117 / var(--tw-text-opacity));
+}
+
+footer .hs_submit input {
+    height: 40px;
+    min-width: 100% !important;
+    width: 100% !important;
 }
 
 /* DOCS */
+div.document .highlight-none, .mi, .literal {
+    color: #048f85;
+}
+
 div.document {
-    padding-top: 150px;
+    padding-top: 96px;
     margin-top: 0;
+    font-family: "Public Sans", "sans-serif";
 }
 
 div.document [id] {
-    scroll-margin-top: 150px;
+    scroll-margin-top: 110px;
 }
 
 @media only screen and (min-device-width: 768px) and (min-width: 768px) and (max-width: 1023px) {
@@ -34,31 +88,62 @@ div.document [id] {
     }
 }
 
-div.body p {
+div.document p {
     line-height: 20pt;
-    font-family: "Public Sans", "sans-serif";
 }
 
-pre, tt, code {
+div.document section > p,
+div.document dl p {
+    margin: 1em 0;
+}
+
+div.document pre,
+div.document tt,
+div.document code {
     font-size: 0.9em;
     font-family: "Reddit Mono", "Consolas", "Lucida Console", monospace;
 }
 
-/* classes for API Reference docstring signatures */
-.sig, .sig-name, code.descname, .sig-prename, .optional, .sig-paren {
+div.document dl {
+    margin-bottom: 15px;
+}
+
+/* API Reference */
+div.document .sig,
+div.document .sig-name,
+div.document code.descname,
+div.document .sig-prename,
+div.document .optional,
+div.document .sig-paren {
     font-size: 1em;
     font-family: "Reddit Mono", "Consolas", "Lucida Console", monospace;
 }
 
-div.body h1 {
+div.document dt.field-even,
+div.document dt.field-odd {
+    margin-top: 1em;
+    line-height: 20pt;
+}
+
+div.document dd ul {
+    margin-top: 1em;
+}
+
+span.colon {
+    display: none;
+}
+
+/* all article pages */
+
+div.document h1 {
     margin-top: 0;
     margin-bottom: 0;
     padding-top: 0;
-    font-size: 2.4em;
+    font-size: 2em;
     min-height: 78px;
 }
 
-div.body h1 + p {
+div.document h1 + p {
     padding-top: 24px;
 }
 
@@ -70,6 +155,19 @@ div.documentwrapper {
     float: none;
 }
 
+div.body {
+    padding-top: 1rem;
+}
+
+a:hover {
+    color: inherit;
+    text-decoration: inherit;
+}
+
+div.body a {
+    color: #006FFF;
+}
+
 /* Don't allow inline items try to clear themselves below the sidebar */
 pre, div[class*="highlight-"], blockquote, blockquote::after, div.admonition::after {
     clear: none;
@@ -78,14 +176,14 @@ pre, div[class*="highlight-"], blockquote, blockquote::after, div.admonition::af
 /* Sticky, scrolling sidebar. Height calc leaves room for header. */
 div.sphinxsidebar {
     position: sticky;
-    top: 150px;
+    top: 96px;
     align-self: flex-start;
-    max-height: calc(100vh - 150px);
+    max-height: calc(100vh - 96px);
     overflow-y: auto;
 }
 
 div.sphinxsidebarwrapper {
-    padding-top: 6px;
+    padding-top: 1rem;
 }
 
 /* Hide the redundant 'description' tagline */
@@ -98,13 +196,24 @@ div.sphinxsidebar h3,
 div.sphinxsidebar h4,
 div.sphinxsidebar h5,
 div.sphinxsidebar h6,
-div.body h2,
-div.body h3,
-div.body h4,
-div.body h5 {
-    font-family: "Public Sans", "sans-serif";
+div.document h2,
+div.document h3,
+div.document h4,
+div.document h5 {
+    font-family: "Public Sans", "sans-serif" !important;
+    text-transform: none !important;
+    letter-spacing: 0 !important;
 }
 
+/* hide the word "Navigation" because people know what links are */
+div.sphinxsidebarwrapper > h3 {
+    display: none;
+}
+
+/* restate header sizes to avoid conflict from inline style in footer */
+div.document h3 { font-size: 150% !important; }
+div.document h4 { font-size: 130% !important; }
+
 /* Links need an extra two pixels of padding to compensate between body font height 
 being 1em and code font height being 0.9em */
 a.reference {
@@ -209,12 +318,20 @@ div.body p.caption {
     font-size: 22px;
 }
 
-ul {
-    /* margin-left: 0; */
+div.body ul, div.body ol {
+    margin: 10px 0 10px 30px;
     font-family: "Public Sans", "sans-serif";
 }
 
-ul ul {
+div.body ul {
+    list-style-type: disc;
+}
+
+div.body ul p, div.body ol p {
+    margin-bottom: 0;
+}
+
+div.body ul ul {
     list-style-type: circle;
     margin-left: 30px;
     font-family: "Public Sans", "sans-serif";
@@ -280,3 +397,9 @@ div.warning {
     background-color: #f7e0e0;
     border: none;
 }
+
+/* Tabs also in Public Sans */
+
+.sphinx-tabs-tab {
+    font-family: "Public Sans", "sans-serif" !important;
+}