Hi @HariharanSubra1,
you can use targetpageparams to pass parameters like mbox3rdPartyId.
https://docs.adobe.com/content/help/en/target/using/implement-target/client-side/functions-overview/...
You can also pass the parameter mbox3rdPartyId after the target-global-mbox call via e.g. adobe.target.getOffer.
It is also possible to wait for a service and then pass an mbox3rdPartyId to target. For this purpose there are data providers.
If you use the Delivery API you should also replace client accordingly.
https://{{tenant}}.tt.omtrdc.net/m2/{{tenant}}/profile/update?mbox3rdPartyId=1234