Qiskit / qiskit-terra / 5602807110

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Add `Expr` support to `DAGCircuit.compose` (#10377)

* Add `Expr` support to `DAGCircuit.compose`

The remapping facilities are (except for some esoteric behaviour for
mapping registers to others in a different order) the same as for
`QuantumCircuit`, so it makes sense to unify the handling.  As part of
switching the old `DAGCircuit` classical-resource-mapping methods over
to the new general-purpose forms, this does most of the necessary work
to upgrade `substitute_node_with_dag` as well.

* Remove `exc_type` argument from `VariableMapper`

Instead, we just delegate this down to a passed-in `add_register`, if
desired.  It marginally compromises the error messages that might be
emitted, but those are paths that we're hope to reduce use of anyway.

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