Hello and welcome to the forums.
On the physical network adapter (on the host) that will be used for this virtual machine, remove all bindings from it in the properties and leave nothing except the VMware Bridge Protocol there. On the "other" network card (that only the host will use), go to the properties and remove the VMware Bridge Protocol. This should force the virtual machine to use the connection you want. You don't need to do anything with Windows bridged connections.
Good Luck!
Brian Atkinson | vExpert | VMTN Moderator | Author of "VCP5-DCV VMware Certified Professional-Data Center Virtualization on vSphere 5.5 Study Guide: VCP-550" | @vmroyale | http://vmroyale.com