auto-init auth-internal after initializing auth

[Feiyang1]

Fixes #4932

Since Firestore doesn't call authProvider.get() to work with asynchronously loaded Auth anymore (changed to use authProvider.onInit() in v9 which is shared with v8), auth-interal needs to be proactively initialized after Auth has been initialized.

Note that it only affects v8, auth-internal is already initialized proactively in v9.

[changeset-bot]

🦋 Changeset detected

Latest commit: 4773d3e

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

This PR includes changesets to release 15 packages

Name	Type
@firebase/auth	Patch
@firebase/component	Patch
firebase	Patch
@firebase/storage	Patch
@firebase/analytics	Patch
@firebase/app-check	Patch
@firebase/app	Patch
@firebase/database	Patch
@firebase/firestore	Patch
@firebase/functions	Patch
@firebase/installations	Patch
@firebase/messaging	Patch
@firebase/performance	Patch
@firebase/remote-config	Patch
@firebase/rules-unit-testing	Patch

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[google-oss-bot]

Binary Size Report

Affected SDKs

• @firebase/auth

  Type	Base (3ea1e1f)	Head (a19f12b)	Diff
  browser	181 kB	181 kB	+75 B (+0.0%)
  main	181 kB	181 kB	+75 B (+0.0%)
  module	181 kB	181 kB	+75 B (+0.0%)

• @firebase/component

  Type	Base (3ea1e1f)	Head (a19f12b)	Diff
  browser	8.33 kB	8.33 kB	-2 B (-0.0%)
  esm2017	6.32 kB	6.32 kB	-2 B (-0.0%)
  main	8.67 kB	8.67 kB	-2 B (-0.0%)
  module	8.33 kB	8.33 kB	-2 B (-0.0%)

• firebase

  Type	Base (3ea1e1f)	Head (a19f12b)	Diff
  firebase-auth.js	177 kB	177 kB	+75 B (+0.0%)
  firebase.js	893 kB	893 kB	+75 B (+0.0%)

Test Logs

• Base (3ea1e1ff): https://github.com/firebase/firebase-js-sdk/actions/runs/969653256
• Head (a19f12bf): https://github.com/firebase/firebase-js-sdk/actions/runs/972550687

[google-oss-bot]

Size Analysis Report

Affected Products

No changes between base commit (3ea1e1f) and head commit (a19f12b).

Test Logs

• Base (3ea1e1f): https://github.com/firebase/firebase-js-sdk/actions/runs/969653256
• Head (a19f12b): https://github.com/firebase/firebase-js-sdk/actions/runs/972550687

[schmidt-sebastian]

FYI @sam-gc I am probably going to rely on you for the review since this is not my area of expertise.