BUG: SMC progress bars do not display correctly when called from RStudio

Describe the issue:

When calling pyMC SMC sampling from RStudio with multiple chains, the new Rich progress bars fill the Console and the Rmarkdown output with chains lines every 0.1 seconds, eventually flooding the console and slowing down RStudio to a crawl.

This is because RStudio console output does not implement cursor movement ANSI control sequences used by Rich multi-progress bars.

See https://github.com/rstudio/reticulate/issues/1632 and https://github.com/rstudio/rstudio/issues/14942

Reproduceable code example:

import pymc as pm

# Run this via a Python chunk in Rstudio with reticulate

def main():

    with pm.Model() as model:
        x = pm.Normal("x", mu=0, sigma=1)
        y = pm.Normal("y", mu=x, sigma=0.001, observed=2)

    with model:
        trace = pm.sample_smc(draws=1000, chains=12, cores=1, progressbar=False)


if __name__ == "__main__":
    main()

Error message:

No error message. See the screenshot.

PyMC version information:

Start with the provided Python reproduction using pm.sample_smc in an RStudio Python chunk, and inspect how SMC progress bars are created when multiple chains run. Verify the behavior with Rich output in RStudio and compare it with normal terminal output. Done means progress remains visible without flooding the RStudio console or RMarkdown output.