[Auth] Fix errors when cookies are disabled in Chrome (compat layer)

[sam-gc]

Issue: #5913

This also appears in database, so I won't be closing out the issue with this PR

[changeset-bot]

🦋 Changeset detected

Latest commit: ce8936e

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

This PR includes changesets to release 3 packages

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

[github-actions]

Changeset File Check ✅

• No modified packages are missing from the changeset file.
• No changeset formatting errors detected.

[google-oss-bot]

Size Report ¹

Affected Products

• @firebase/auth-compat

  Type	Base (2d04af9)	Merge (30b4672)	Diff
  browser	20.0 kB	20.1 kB	+83 B (+0.4%)
  esm5	26.9 kB	26.9 kB	+87 B (+0.3%)
  main	29.4 kB	29.5 kB	+87 B (+0.3%)
  module	20.0 kB	20.1 kB	+83 B (+0.4%)

• firebase

  Type	Base (2d04af9)	Merge (30b4672)	Diff
  firebase-auth-compat.js	123 kB	123 kB	-29 B (-0.0%)
  firebase-compat.js	753 kB	753 kB	-29 B (-0.0%)

Test Logs

• Base (2d04af9): https://github.com/firebase/firebase-js-sdk/actions/runs/1730635977
• Merge (30b4672): https://github.com/firebase/firebase-js-sdk/actions/runs/1742621675

1. https://storage.googleapis.com/firebase-sdk-metric-reports/HAR4QTuG5p.html

[google-oss-bot]

Size Analysis Report ¹

Affected Products

No changes between base commit (2d04af9) and merge commit (30b4672).

Test Logs

• Base (2d04af9): https://github.com/firebase/firebase-js-sdk/actions/runs/1730635977
• Merge (30b4672): https://github.com/firebase/firebase-js-sdk/actions/runs/1742621675

1. https://storage.googleapis.com/firebase-sdk-metric-reports/0tEYnZGXeM.html