Re-enable tc_analysis tests

[forsyth2]

Summary

Objectives:

• Re-enable tc_analysis sections in the weekly test templates.
• Re-enable tc_analysis sets for e3sm_diags in the the weekly test templates.

This will allow us to test #828 more thoroughly. After completing testing of that PR, we will determine whether to merge this PR or close it (and hopefully re-open/merge it in the future once tc_analysis is fully working again).

Select one: This pull request is...

• a bug fix: increment the patch version
• a small improvement: increment the minor version
• a new feature: increment the minor version
• an incompatible (non-backwards compatible) API change: increment the major version

Small Change

• To merge, I will use "Squash and merge". That is, this change should be a single commit.
• Logic: I have visually inspected the entire pull request myself.
• Pre-commit checks: All the pre-commits checks have passed.

[forsyth2]

Setup steps

git fetch upstream main
git checkout -b re-enable-tc-analysis-tests upstream/main

git grep -B 1 "\[tc_analysis\]" tests/integration/template_weekly_*.cfg
# Check for commented out lines
# Re-enable all tc_analysis tasks
git grep -B 1 "\[tc_analysis\]" tests/integration/template_weekly_*.cfg
# Good, nothing remains commented out

# We still need to add tc_analysis back into the e3sm_diags sets though.
# Resolve those and then confirm nothing was missed with:
git grep -n "TODO: Add \"tc_analysis\" back in" tests/integration/template_weekly_*.cfg
# Good, no results

lcrc_conda
rm -rf build
conda clean --all --y
conda env create -f conda/dev.yml -n zppy-re-enable-tc-analysis-20260602
conda activate zppy-re-enable-tc-analysis-20260602
git add -A
pre-commit run --all-files
git add -A
git commit -m "Re-enable tc_analysis tests"
git push upstream re-enable-tc-analysis-tests