Move model compatibility checks ahead of session initialization (#27037)
### Description
<!-- Describe your changes. -->
The current infrastructure for validating compatibility of a precompiled
model does the check after session initialization occurs, which turns
out to be quite costly. The check should ideally happen beforehand, to
short-circuit those expensive operations.
### Motivation and Context
<!-- - Why is this change required? What problem does it solve?
- If it fixes an open issue, please link to the issue here. -->
This change will make it more tractable for applications to rely on the
existing session machinery to check compatibility of any of their
models.
Co-authored-by: Aditya Rastogi <adityar@ntdev.microsoft.com>