push tag with l3 interface on client's QnQ

---------------             ---------------	    ---------	
+             +   xe-0/0/41 +             +   100G  +       +
+   3750x-48  +-------------+ qfx5110-48s +---------+ mx204 +
+             +             +             +         +       +
---------------             ---------------         ---------
      |                           |xe-0/0/1
      |                           | 
      |                           |
client qnq		    client qnq

Can QFX or MX push tag with l3 interface (for BGP) into client's QnQ? Now we could configured BGP on mx204 in native vlan only.
Client have QnQ between 10G ports on 3750x and qfx5110.

QFX:

### client port ###

interfaces {
xe-0/0/1 {

flexible-vlan-tagging;
mtu 9216;
encapsulation extended-vlan-bridge;
unit 0 {
vlan-id-list 1-4094;
input-vlan-map push;
output-vlan-map pop;
}

### vlans conf ###
vlans {
vl311 {
interface xe-0/0/41.311;
interface xe-0/0/1.0;

interface et-0/0/48.311;
} 

### port to mx204 ###

interfaces {
et-0/0/48 {

flexible-vlan-tagging;
mtu 9216;
encapsulation flexible-ethernet-services;
unit 311 {
encapsulation vlan-bridge;
vlan-id 311;
}

MX204:

interfaces {
et-0/0/0 {
flexible-vlan-tagging;
mtu 9216;
encapsulation flexible-ethernet-services;
gigether-options {
no-flow-control;
}
unit 311 {
vlan-id 311;
family inet {
address 10.10.10.1/31;
}