Is Swagger incapable of sending a request that includes a JSON-formatted query string?

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Swagger itself is simply a tool for designing and documenting APIs, and it does not make requests. However, the specific library or tool that you use to make requests based on your Swagger API definition may have limitations or requirements around JSON-formatted query strings. Some API clients or libraries may support this feature, while others may not. It is important to check the documentation or seek support from the library or tool you are using.