Update tests to remove JacobianTape

[mlxd]

Context: With PennyLaneAI/pennylane#2336 deprecated functions in PennyLane were removed. Some of these functions were still in use in Lightning and needed replacement.

Description of the Change: Removes JacobianTape from the Lightning Python test suite and updates the support for new syntax.

Benefits: Passing tests

Possible Drawbacks:

Related GitHub Issues:

[github-actions]

Hello. You may have forgotten to update the changelog!
Please edit .github/CHANGELOG.md with:

• A one-to-two sentence description of the change. You may include a small working example for new features.
• A link back to this PR.
• Your name (or GitHub username) in the contributors section.

[codecov]

Codecov Report

Merging #260 (f2ce6cc) into master (d0aede4) will not change coverage.
The diff coverage is 100.00%.

❗ Current head f2ce6cc differs from pull request most recent head 90a0c42. Consider uploading reports for the commit 90a0c42 to get more accurate results

@@            Coverage Diff            @@
##            master      #260   +/-   ##
=========================================
  Coverage   100.00%   100.00%           
=========================================
  Files            4         4           
  Lines          366       366           
=========================================
  Hits           366       366           

Impacted Files	Coverage Δ
pennylane_lightning/_version.py	100.00% <100.00%> (ø)

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[github-actions]

Test Report (C++) on Ubuntu

       1 files  ±0         1 suites  ±0   0s ⏱️ ±0s
   555 tests ±0     555 ✔️ ±0  0 💤 ±0  0 ❌ ±0 
2 289 runs  ±0  2 289 ✔️ ±0  0 💤 ±0  0 ❌ ±0 

Results for commit 90a0c42. ± Comparison against base commit d0aede4.

[chaeyeunpark]

Nice update!

[mlxd]

Since this is a blocker on other work, I'll merge with the single approval.