Align Capture Proxy naming and Improve Migration Console UX

[lewijacn]

Description

This change accomplishes a few small tasks to make UX a bit better

1. Aligns the naming of the capture proxy and port to be the same for docker and Copilot, as well as updates related usages and documentation for this
2. Gives the migration console console access to the target domain endpoint to make cluster checking a bit easier there
3. Includes a convenience script on the migration console to check indices and documents on the source and target clusters with a single script

Issues Resolved

None

Testing

Manual deployment local and cloud testing

Check List

• New functionality includes testing
  • All tests pass, including unit test, integration test and doctest
• New functionality has been documented
• Commits are signed per the DCO using --signoff

By submitting this pull request, I confirm that my contribution is made under the terms of the Apache 2.0 license.
For more information on following Developer Certificate of Origin and signing off your commits, please check here.

[sumobrian]

LGTM

[opensearch-trigger-bot]

The backport to capture-and-replay-v0.1.0 failed:

The process '/usr/bin/git' failed with exit code 128

To backport manually, run these commands in your terminal:

# Fetch latest updates from GitHub
git fetch
# Create a new working tree
git worktree add ../.worktrees/backport-capture-and-replay-v0.1.0 capture-and-replay-v0.1.0
# Navigate to the new working tree
pushd ../.worktrees/backport-capture-and-replay-v0.1.0
# Create a new branch
git switch --create backport/backport-284-to-capture-and-replay-v0.1.0
# Cherry-pick the merged commit of this pull request and resolve the conflicts
git cherry-pick -x --mainline 1 f31a65c60ec679cf1b6498741f8b93133ef20ff2
# Push it to GitHub
git push --set-upstream origin backport/backport-284-to-capture-and-replay-v0.1.0
# Go back to the original working tree
popd
# Delete the working tree
git worktree remove ../.worktrees/backport-capture-and-replay-v0.1.0

Then, create a pull request where the base branch is capture-and-replay-v0.1.0 and the compare/head branch is backport/backport-284-to-capture-and-replay-v0.1.0.