Fix #5597: if sync is running, don't schedule a bg task

[garvankeeley]

No description provided.

[mozillamobilebot]

SwiftLint found issues

Warnings

File	Line	Reason
RustPlaces.swift	259	Initializing an optional variable with nil is redundant. (redundant_optional_initialization)
RustPlaces.swift	275	Initializing an optional variable with nil is redundant. (redundant_optional_initialization)
AppDelegate.swift	44	Prefer empty collection over optional collection. (discouraged_optional_collection)
AppDelegate.swift	49	Prefer empty collection over optional collection. (discouraged_optional_collection)
AppDelegate.swift	83	Prefer empty collection over optional collection. (discouraged_optional_collection)
AppDelegate.swift	198	Prefer empty collection over optional collection. (discouraged_optional_collection)
AppDelegate.swift	484	Prefer empty collection over optional collection. (discouraged_optional_collection)
AppDelegate.swift	392	Variables should not have redundant type annotation (redundant_type_annotation)
AppDelegate.swift	22	Limit vertical whitespace to a single empty line. Currently 2. (vertical_whitespace)

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