Bluetooth: Classic: SDP: Avoid invalid `session->param` be accessed

The `session->param` should be updated to date whatever the function
`sdp_client_ssa_search()`, `sdp_client_sa_search()` or
`sdp_client_ss_search()` can be executed properly.

Update the `session->param` to the new `param` when executing the
function.

Fixes #91156

Signed-off-by: Lyle Zhu <lyle.zhu@nxp.com>