[hackathon]: Paste and shortener services

[myrrc]

Example of using Google Oauth-gated services for QoL on Neon -- a paste and and URL shortener with a Oauth mini-library

[github-actions]

If this PR added a GUC in the Postgres fork or neon extension,
please regenerate the Postgres settings in the cloud repo:

make NEON_WORKDIR=path/to/neon/checkout \
  -C goapp/internal/shareddomain/postgres generate

If you're an external contributor, a Neon employee will assist in
making sure this step is done.

[github-actions]

No tests were run or test report is not available

Test coverage report is not available

_{The comment gets automatically updated with the latest test results
8de4636 at 2025-06-02T11:59:36.036Z :recycle:}