chore: update team_plan => pro_plan name

[AdityaHegde]

Updates the plan name for paid plan from team_plan => pro_plan. Note that parts of UI might misbehave, will have follow ups to fix them.

Checklist:

• Covered by tests
• Ran it and it works as intended
• Reviewed the diff before requesting a review
• Checked for unhandled edge cases
• Linked the issues it closes
• Checked if the docs need to be updated. If so, create a separate Linear DOCS issue
• Intend to cherry-pick into the release branch
• I'm proud of this work!

[AdityaHegde]

Closing in favour of other PRs:
#9088
#9404