Thanks for Sharing this Opportunity with us,
By taking a look on your requirement, I am sure that I will Implement this requirement. we can use the External Data Source For implementing the Integration with MuleSoft. and also We will create the External Object for dynamically stored the Data sync from mulesoft to Salesforce.
previously I implemented many Project on Sales Cloud, Service Cloud, Experience Cloud, Marketing Cloud and Mulesoft.
Having a Good Knowledge on DEVELOPMENT also, like Synchronous APEX & Synchronous APEX, LWC, AURA, VFPage, etc., and Also having good Knowledge on Declarative Development Like FLOW, Process builder, Workflow etc.,
and also having good knowledge of DataWeave and RAML etc.,
Also, I have Implemented many Integration Like Salesforce to Webmerge, EasyEmployee, Envil, Google Console, SalesLoft, mulesoft, Etc.,
Let me know when we can connect further, I can show you my portfolios also.
Thanks
Deepak Panchal