VS 2013 is out of support. You will get no help from MS and there is nothing they can do to help you get the license renewed. That particular service has most likely finally changed such that it is no longer compatible.
You should be able to update to a newer VS version. You mentioned Crystal Reports as a dependency and that stuff should still work in newer VS versions (VS 2019 I would recommend, not VS 2022). If you were using CR then those dependencies should still work correctly. In theory you should be able to compile and run like before.
However if you are relying on the CR design time designers then you have little choice but to upgrade to a newer CR version that is supported by the CR team with VS 2019. That may cause some breaking changes but hopefully are minimal. Then redeploying your app should take care of everything. However if you cannot upgrade CR and the designers aren't working then you're stuck with hand editing (if possible).
I'm not really sure what other options you have. Your app is really old, the products it is relying on are not supported anymore and making them work without changes probably isn't an option. VS 2013 is 10 years old and not supported anymore. It might be time to upgrade that critical app.