How to deal with firewall/proxy SSL inspection breaking stuff?

The company I work at has SSL inspection in almost all outbound traffic in our firewalls and proxies. This breaks a lot of stuff.

As part of the security team, I get tons of tickets requesting approval for bypassing SSL inspection. Management doesn't want us to approve those unless there is documentation from the sites/apps/services requested describing it doesn't support MITM inspection. Otherwise, the area requesting access must assume the risk, or the ticket is rejected.

Does this make sense …

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