In Appearance > Customize > Additional CSS, you have this code which puts the flags to the left:
.flags-float-left {
float: left;
text-align: left;
margin-right: 3px
}
If you remove this, the alignment you set in the Block Editor should work.
You can try also adding class my-flags to the Container Block holding the flags, then add this CSS:
.gb-container.my-flags > .gb-inside-container {
display: flex;
justify-content: flex-end;
}
Hope this helps! Kindly let us know how it goes!