update rustc that anchor uses

After running cargo build-bpf I get the following error:

cargo-build-bpf child: rustup toolchain list -vcargo-build-bpf child: cargo +bpf build --target bpfel-unknown-unknown --releaseerror: package 'anchor-lang v0.27.0' cannot be built because it requires rustc 1.60 or newer, while the currently active rustc version is 1.59.0-dev

Sanity checking my rust version with rustup -V I get:

rustup 1.25.2 (2023-02-01)

info: This is the version for the rustup toolchain manager, not the rustc compiler.info: The currently active 'rustc' version is 'rustc 1.68.0 (2c8cc3432 2023-03-06)'

How can I update the rustc that Anchor sees?