MT19937 Generator in C++ and NumPy generate different numbers

I am trying to reproduce some C++ code in Python that involves random number generations. The C++ code uses the MT19937 generator as follows:

#include <random>
#include <iostream>

int main() {
    std::mt19937 generator(1234);
    std::uniform_real_distribution<double> distribution(0.0, 1.0);

    for (int i = 0; i < 10; ++i) {
        std::cout << distribution(generator) << std::endl;
    }

    return 0;
}

The Python version is (with NumPy 1.23.3)

import numpy as np

rng = np.random.Generator(np.random.MT19937(1234))
for _ in range(10):
    print(rng.random())

In both cases, the random seed is set to 1234. But the two produce different outputs on my machine (macOS 14.0 ARM). The C++ code outputs

0.497664
0.817838
0.612112
0.77136
0.86067
0.150637
0.198519
0.815163
0.158815
0.116138

while the Python code outputs

0.12038356302504949
0.4037014194964441
0.8777026256367374
0.9565788014497463
0.42646002242298486
0.28304326113156464
0.9009410688498408
0.830833142531224
0.6752899264264728
0.3977176012599666

Why do the two MT19937 generators produce different sequences despite the same seed? How (if possible) can I make them the same?