Environment

• Qiskit version: 2.1.1
• Python version: 3.12
• Operating system: Ubuntu

What is happening?

When copying a blueprint and changing its name, the drawn circuit still uses the old name.

How can we reproduce the issue?

from qiskit.circuit.library import QFT

qft = QFT(num_qubits=1, name='foo')
print(qft.name)
print(qft.draw())
qft2 = qft.copy(name='bar')
print(qft2.name)
print(qft2.draw())

Outputs:

foo
┌─────┐
q: ┤ foo ├
└─────┘
bar
┌─────┐
q: ┤ foo ├
└─────┘

What should happen?

It should output instead:
Outputs:

foo
┌─────┐
q: ┤ foo ├
└─────┘
bar
┌─────┐
q: ┤ bar ├
└─────┘

Any suggestions?

I'm checking whether it could be a problem of _base_name not being updated in blueprint.copy method