Fix: missing await in getRemoteBrowser()

[chakflying]

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Description

After adding type definition in #4417, I found that browser should be of type Browser, but getRemoteBrowser() is trying to assign Promise<Browser> to it.

Type of change

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• Bug fix (non-breaking change which fixes an issue)

Checklist

• My code follows the style guidelines of this project
• I ran ESLint and other linters for modified files
• I have performed a self-review of my own code and tested it
• I have commented my code, particularly in hard-to-understand areas (including JSDoc for methods)
• My changes generates no new warnings
• My code needed automated testing. I have added them (this is optional task)

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