Connectivity Setup for Transit Gateway and Direct Connect (DX) Gateway with VPC Attachments

We have a Transit Gateway (Tgw) route table that contains associated and propagated routes. The resource type specified in this context is VPC (Virtual Private Cloud).

Next, I have associated the Transit Gateway to the Direct Connect (DX) gateway, using the VPC IP CIDR in the allowed prefix list( advertising to on prem) . This action created the attachment between the Transit Gateway and the DX gateway. However, the association route table ID is not specified, and the association state is currently blank, indicating that there is no active association.

Furthermore, I have created one route table (rtb) for this VPC. In the routes section of this route table, I can observe my VPC CIDR range with the Transit Gateway attachment, where the resource type is marked as VPC.

Now, the question arises: Do I need to associate the DX gateway attachment and create propagation pointing towards my DX gateway attachment in the route table in order to establish connectivity?

Please advise