Add method filtering to route_with_tsr (#3586) #6012

Job	Run time
external-types	31s
dependencies-are-sorted	5s
check-docs	26s
cargo-hack	1m 11s
cargo-deny check (advisories)	20s
check (examples)	34s
check (.)	32s
cargo-deny check (bans licenses sources)	26s
Spell Check with Typos	8s
test-docs	59s
test-msrv	2m 46s
armv5te-unknown-linux-musleabi	31s
wasm32-unknown-unknown	20s
test-versions (stable, .)	50s
test-versions (stable, examples)	41s
test-nightly	1m 14s
test-versions (beta, .)	48s
test-versions (beta, examples)	38s
	13m 0s

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