`nushell` replicates prompt line with every keystroke on `wezterm`

Describe the bug

Every keystroke duplicates the prompt line for no reason.

See wez/wezterm#1999.

I had to post a bug here, as I'm beginning to think that this is very much tied to nushell and not the wezterm (or atleast both).

How to reproduce

Nothing but type in your terminal and see the prompt replicate.

Expected behavior

I don't expect the terminal to fill up with the line before the keystroke.

Screenshots

No response

Configuration

key	value
version	0.62.0
branch
tag
build_os	windows-x86_64
rust_version	rustc 1.60.0 (7737e0b5c 2022-04-04)
rust_channel	stable-x86_64-pc-windows-msvc
cargo_version	cargo 1.60.0 (d1fd9fe2c 2022-03-01)
pkg_version	0.62.0
build_time	2022-05-09 20:50:11 +02:00
build_rust_channel	release
features	default, trash, which, zip
installed_plugins

Additional context

I'm on Windows. I tried with nightly wezterm, latest stable of nu, with no configuration in wezterm, and with default configuration for nushell; We also tried to no configuration files for nushell.