feat: add C implementation for `blas/base/dsyr2` #22254

Job	Run time
Add initial reaction	5s
Update copyright header years	0s
Auto-fix lint errors	0s
Merge changes from develop branch into this PR / Merge Develop into PR Branch	1m 46s
Post a comment with make command instructions	0s
Check for required files	0s
Rebase this PR on top of develop branch	0s
Print a list of available slash commands	0s
Remove in-progress label	3s
	1m 54s

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