Add CI script to check package paths

[hsubox76]

• Add a script to check all the paths to entry points and typings files in package.json and make sure the file they are pointing at exists.
• Add a workflow to run this in CI on pull_request.
• Fix errors found in 3 package.json files after running this script.

[changeset-bot]

🦋 Changeset detected

Latest commit: 6cbb47e

The changes in this PR will be included in the next version bump.

This PR includes changesets to release 6 packages

Name	Type
@firebase/auth	Patch
@firebase/firestore	Patch
@firebase/installations-compat	Patch
@firebase/auth-compat	Patch
firebase	Patch
@firebase/firestore-compat	Patch

Not sure what this means? Click here to learn what changesets are.

Click here if you're a maintainer who wants to add another changeset to this PR

[google-oss-bot]

Size Report ¹

Affected Products

• @firebase/auth

  Type	Base (9fddd5c)	Merge (a1357a7)	Diff
  browser	?	155 kB	? (?)
  cordova	?	183 kB	? (?)
  esm5	?	202 kB	? (?)
  main	?	148 kB	? (?)
  module	?	155 kB	? (?)
  react-native	?	168 kB	? (?)

• bundle

  Type	Base (9fddd5c)	Merge (a1357a7)	Diff
  firestore-lite (Query Cursors)	67.8 kB	208 kB	+140 kB (+206.5%)
  firestore-lite (Query)	71.0 kB	208 kB	+137 kB (+192.5%)
  firestore-lite (Read data once)	55.4 kB	197 kB	+142 kB (+256.4%)
  firestore-lite (Transaction)	80.0 kB	181 kB	+101 kB (+126.7%)
  firestore-lite (Write data)	65.2 kB	181 kB	+116 kB (+177.6%)

• firebase

  Type	Base (9fddd5c)	Merge (a1357a7)	Diff
  firebase-firestore-lite.js	267 kB	837 kB	+570 kB (+213.2%)

Test Logs

• Base (9fddd5c): https://github.com/firebase/firebase-js-sdk/actions/runs/2418021879
• Merge (a1357a7): https://github.com/firebase/firebase-js-sdk/actions/runs/2423687285

1. https://storage.googleapis.com/firebase-sdk-metric-reports/tl3Zvuprfx.html

[google-oss-bot]

Size Analysis Report ¹

Affected Products

No changes between base commit (9fddd5c) and merge commit (a1357a7).

Test Logs

• Base (9fddd5c): https://github.com/firebase/firebase-js-sdk/actions/runs/2418021879
• Merge (a1357a7): https://github.com/firebase/firebase-js-sdk/actions/runs/2423687285

1. https://storage.googleapis.com/firebase-sdk-metric-reports/EH2N4Y2oZC.html

[dwyfrequency]

LGTM