Unfortunately, you cannot filter multiple HTTP methods or multiple predefined filters in general, for example, using both method and domain .
You also cannot mix a predefined filter with a plain text one, as I found in the answer How do I filter both text and property in the Chrome DevTool network panel?
You will need to filter one by one, or if there are many requests, you can export the HAR and filter based on JSON output. I gave an example of parsing JSON here if that helps.

Gideon pyzer
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