you are correct, if you want to use web filtering you cannot use tap mode. In tap mode we are looking at the stream of traffic and logging only offlline to the traffic and cannot affect it. If you have a fully functional existing firewall, the simplest way to insert some PA funcationality like web filtering is to use vWire mode. In this mode two ports of the PA are treated as a virtual wire, as if they are simply a patch cable that the traffic goes through and have now layer 2 or layer 3 impact on your existing network. You disconnect the internal path of your traffic into the ASA and connect that to the trust side port of your two vWire ports. Then run a new cable from the untrust vWire port to the ASA. Now all your traffic can be web filtered and controled on the PA and no rules on your ASA are changed. Basic instructions for this are here. https://live.paloaltonetworks.com/t5/Configuration-Articles/How-to-Configure-Virtual-Wire-VWire/ta-p/56695
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