WebTunnel bridges: Work with Tor Browser, but doesn't work with core Tor

I also tried to replace

"/Applications/Tor Browser.app/Contents/MacOS/Tor/PluggableTransports/lyrebird"

with the path to the lyrebird executable from the Tor Expert Bundle instead:

/Users/jsx97/Downloads/tor-expert-bundle-macos-aarch64-14.0.4/tor/pluggable_transports/lyrebird

And it turns out it behaves somewhat differently.

It connects to 100%, though the blocked websites are nevertheless still blocked.

Jan 29 13:14:05.993 [notice] Tor 0.4.8.13 running on Darwin with Libevent 2.1.12-stable, OpenSSL 3.4.0, Zlib 1.2.12, Liblzma N/A, Libzstd N/A and Unknown N/A as libc.
Jan 29 13:14:05.993 [notice] Tor can't help you if you use it wrong! Learn how to be safe at https://support.torproject.org/faq/staying-anonymous/
Jan 29 13:14:05.993 [notice] Read configuration file "/opt/homebrew/etc/tor/torrc".
Jan 29 13:14:05.995 [notice] Opening Socks listener on 127.0.0.1:9050
Jan 29 13:14:05.995 [notice] Opened Socks listener connection (ready) on 127.0.0.1:9050
Jan 29 13:14:06.000 [warn] Cannot find maximum file descriptor, assuming: 256
Jan 29 13:14:06.000 [notice] Parsing GEOIP IPv4 file /opt/homebrew/Cellar/tor/0.4.8.13/share/tor/geoip.
Jan 29 13:14:06.000 [notice] Parsing GEOIP IPv6 file /opt/homebrew/Cellar/tor/0.4.8.13/share/tor/geoip6.
Jan 29 13:14:06.000 [notice] Bootstrapped 0% (starting): Starting
Jan 29 13:14:06.000 [notice] Starting with guard context "bridges"
Jan 29 13:14:06.000 [notice] Delaying directory fetches: No running bridges
Jan 29 13:14:06.000 [notice] Bridge 'nullfwt3122' has both an IPv4 and an IPv6 address.  Will prefer using its IPv6 address ([2001:db8:a434:2cba:55cb:15a6:1ece:1374]:443) based on the configured Bridge address.
Jan 29 13:14:06.000 [notice] new bridge descriptor 'nullfwt3122' (cached): $630AABF104AEF8CFEC9AADA366F1955A1F7054BF~nullfwt3122 [IyxBJiGMMXw5zYKF/97XnZD7zTbbliPr1/piZflDbmQ] at 209.135.170.154 and [2001:db8:a434:2cba:55cb:15a6:1ece:1374]
Jan 29 13:14:06.000 [notice] Bridge 'WTBrRNcgMOmCxy' has both an IPv4 and an IPv6 address.  Will prefer using its IPv6 address ([2001:db8:a379:1522:ea89:9c9d:59c8:1d5a]:443) based on the configured Bridge address.
Jan 29 13:14:06.000 [notice] new bridge descriptor 'WTBrRNcgMOmCxy' (cached): $B55A418B4F30181ED304EB2698EE58D283BEE5BF~WTBrRNcgMOmCxy [9GW9bH4MaQGL66qpiXL1meCwiLpL6whXAXM9aSK8wWM] at 69.130.251.224 and [2001:db8:a379:1522:ea89:9c9d:59c8:1d5a]
Jan 29 13:14:06.000 [notice] Bridge 'nullfwt3122' has both an IPv4 and an IPv6 address.  Will prefer using its IPv6 address ([2001:db8:a434:2cba:55cb:15a6:1ece:1374]:443) based on the configured Bridge address.
Jan 29 13:14:06.000 [notice] new bridge descriptor 'nullfwt3122' (cached): $630AABF104AEF8CFEC9AADA366F1955A1F7054BF~nullfwt3122 [IyxBJiGMMXw5zYKF/97XnZD7zTbbliPr1/piZflDbmQ] at 209.135.170.154 and [2001:db8:a434:2cba:55cb:15a6:1ece:1374]
Jan 29 13:14:06.000 [notice] Bridge 'WTBrRNcgMOmCxy' has both an IPv4 and an IPv6 address.  Will prefer using its IPv6 address ([2001:db8:a379:1522:ea89:9c9d:59c8:1d5a]:443) based on the configured Bridge address.
Jan 29 13:14:06.000 [notice] new bridge descriptor 'WTBrRNcgMOmCxy' (cached): $B55A418B4F30181ED304EB2698EE58D283BEE5BF~WTBrRNcgMOmCxy [9GW9bH4MaQGL66qpiXL1meCwiLpL6whXAXM9aSK8wWM] at 69.130.251.224 and [2001:db8:a379:1522:ea89:9c9d:59c8:1d5a]
Jan 29 13:14:07.000 [notice] Bridge 'nullfwt3122' has both an IPv4 and an IPv6 address.  Will prefer using its IPv6 address ([2001:db8:a434:2cba:55cb:15a6:1ece:1374]:443) based on the configured Bridge address.
Jan 29 13:14:07.000 [notice] Bridge 'WTBrRNcgMOmCxy' has both an IPv4 and an IPv6 address.  Will prefer using its IPv6 address ([2001:db8:a379:1522:ea89:9c9d:59c8:1d5a]:443) based on the configured Bridge address.
Jan 29 13:14:07.000 [notice] Bootstrapped 1% (conn_pt): Connecting to pluggable transport
Jan 29 13:14:07.000 [notice] Bootstrapped 2% (conn_done_pt): Connected to pluggable transport
Jan 29 13:14:08.000 [notice] Bootstrapped 10% (conn_done): Connected to a relay
Jan 29 13:14:08.000 [notice] Bootstrapped 14% (handshake): Handshaking with a relay
Jan 29 13:14:08.000 [notice] Bootstrapped 15% (handshake_done): Handshake with a relay done
Jan 29 13:14:08.000 [notice] Bootstrapped 75% (enough_dirinfo): Loaded enough directory info to build circuits
Jan 29 13:14:08.000 [notice] Bootstrapped 95% (circuit_create): Establishing a Tor circuit
Jan 29 13:14:08.000 [notice] Bridge 'WTBrRNcgMOmCxy' has both an IPv4 and an IPv6 address.  Will prefer using its IPv6 address ([2001:db8:a379:1522:ea89:9c9d:59c8:1d5a]:443) based on the configured Bridge address.
Jan 29 13:14:08.000 [notice] Bridge 'nullfwt3122' has both an IPv4 and an IPv6 address.  Will prefer using its IPv6 address ([2001:db8:a434:2cba:55cb:15a6:1ece:1374]:443) based on the configured Bridge address.
Jan 29 13:14:09.000 [notice] Bootstrapped 100% (done): Done