Send `application_type` during Dynamic Client Registration (SEP-837) #2854

Job	Run time
checks / readme-snippets	10s
checks / pre-commit	39s
checks / test (3.13, locked, ubuntu-latest)	53s
checks / test (3.11, lowest-direct, windows-latest)	1m 46s
checks / test (3.10, locked, windows-latest)	1m 37s
checks / test (3.14, locked, windows-latest)	2m 12s
checks / test (3.10, lowest-direct, ubuntu-latest)	1m 26s
checks / test (3.11, lowest-direct, ubuntu-latest)	1m 25s
checks / test (3.10, locked, ubuntu-latest)	1m 3s
checks / test (3.10, lowest-direct, windows-latest)	1m 57s
checks / test (3.13, lowest-direct, ubuntu-latest)	1m 16s
checks / test (3.12, locked, ubuntu-latest)	1m 2s
checks / test (3.14, lowest-direct, windows-latest)	1m 33s
checks / test (3.13, lowest-direct, windows-latest)	1m 37s
checks / test (3.13, locked, windows-latest)	1m 48s
checks / test (3.12, lowest-direct, windows-latest)	2m 7s
checks / test (3.12, locked, windows-latest)	1m 26s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 3s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 5s
checks / test (3.14, locked, ubuntu-latest)	2m 1s
checks / test (3.11, locked, windows-latest)	1m 32s
checks / test (3.11, locked, ubuntu-latest)	58s
all-green	4s
	30m 40s

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