Remove deprecated calls of `MatrixClient` #10404

Job	Run time
Run Complement Crypto tests	0s
Downstream test element-web	0s
Jest [integ] (Node lts/*)	2m 21s
Jest [integ] (Node 22)	2m 23s
Jest [unit] (Node lts/*)	1m 32s
Jest [unit] (Node 22)	1m 34s
Downstream tests	3s
Downstream Complement Crypto tests	1s
Jest tests	1s
	7m 55s

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