diff --git a/.mise/config.toml b/.mise/config.toml
index c16e4a8..6a3b519 100644
--- a/.mise/config.toml
+++ b/.mise/config.toml
@@ -60,7 +60,7 @@ shellcheck = "0.11.0"
 # is keyed by whichever spelling this file uses — so with the long form,
 # `mise install --locked … uv` (what the docs workflow asks for) looks up `uv`,
 # misses, and fails with "No lockfile URL found for uv@0.11.32".
-uv = "0.12.5"
+uv = "0.12.9"
 # The docs screenshot pipeline's seed script asserts data-at-rest hygiene with
 # a jq filter over the runs API; pin it like every other CI-relevant tool.
 jq = "1.8.2"
diff --git a/.mise/mise.lock b/.mise/mise.lock
index 51bc432..90d9550 100644
--- a/.mise/mise.lock
+++ b/.mise/mise.lock
@@ -215,49 +215,49 @@ url = "https://github.com/koalaman/shellcheck/releases/download/v0.11.0/shellche
 url_api = "https://api.github.com/repos/koalaman/shellcheck/releases/assets/279056944"
 
 [[tools.uv]]
-version = "0.12.5"
+version = "0.12.9"
 backend = "aqua:astral-sh/uv"
 
 [tools.uv."platforms.linux-arm64"]
-checksum = "sha256:8767a0e77f2cd45436401b1b42bf7e9ed5a4a91a74a5305d6fe93249d0f6dbc5"
-url = "https://github.com/astral-sh/uv/releases/download/0.12.5/uv-aarch64-unknown-linux-musl.tar.gz"
-url_api = "https://api.github.com/repos/astral-sh/uv/releases/assets/514850993"
+checksum = "sha256:c36fe17937ff6bd16dc42fc13854b5465999fcab2efe0af559381e945e3c6001"
+url = "https://github.com/astral-sh/uv/releases/download/0.12.9/uv-aarch64-unknown-linux-gnu.tar.gz"
+url_api = "https://api.github.com/repos/astral-sh/uv/releases/assets/540200939"
 provenance = "github-attestations"
 
 [tools.uv."platforms.linux-arm64-musl"]
-checksum = "sha256:8767a0e77f2cd45436401b1b42bf7e9ed5a4a91a74a5305d6fe93249d0f6dbc5"
-url = "https://github.com/astral-sh/uv/releases/download/0.12.5/uv-aarch64-unknown-linux-musl.tar.gz"
-url_api = "https://api.github.com/repos/astral-sh/uv/releases/assets/514850993"
+checksum = "sha256:7eb9bf48516448c9db6a9e436d8e747ac9c8a9cac74717160a29918249b080a6"
+url = "https://github.com/astral-sh/uv/releases/download/0.12.9/uv-aarch64-unknown-linux-musl.tar.gz"
+url_api = "https://api.github.com/repos/astral-sh/uv/releases/assets/540200941"
 provenance = "github-attestations"
 
 [tools.uv."platforms.linux-x64"]
-checksum = "sha256:a4742988791c9aeae68c78150d6cba762062ad2a47e53738c2779d2b596bfcdb"
-url = "https://github.com/astral-sh/uv/releases/download/0.12.5/uv-x86_64-unknown-linux-musl.tar.gz"
-url_api = "https://api.github.com/repos/astral-sh/uv/releases/assets/514851105"
+checksum = "sha256:ec7a99cd05e0cd7f80243f135ce1361c76835cb0ee60055d14d20eba8eba1460"
+url = "https://github.com/astral-sh/uv/releases/download/0.12.9/uv-x86_64-unknown-linux-gnu.tar.gz"
+url_api = "https://api.github.com/repos/astral-sh/uv/releases/assets/540201041"
 provenance = "github-attestations"
 
 [tools.uv."platforms.linux-x64-musl"]
-checksum = "sha256:a4742988791c9aeae68c78150d6cba762062ad2a47e53738c2779d2b596bfcdb"
-url = "https://github.com/astral-sh/uv/releases/download/0.12.5/uv-x86_64-unknown-linux-musl.tar.gz"
-url_api = "https://api.github.com/repos/astral-sh/uv/releases/assets/514851105"
+checksum = "sha256:aa4b1f8770910f7c7c543c7acc980e4270e52e70750c996acef813ea1c7c2912"
+url = "https://github.com/astral-sh/uv/releases/download/0.12.9/uv-x86_64-unknown-linux-musl.tar.gz"
+url_api = "https://api.github.com/repos/astral-sh/uv/releases/assets/540201044"
 provenance = "github-attestations"
 
 [tools.uv."platforms.macos-arm64"]
-checksum = "sha256:5bb0e5fe008a773c3dbcb97ff79cd89e1241464fe9d2f986d52ad8f1b037bd62"
-url = "https://github.com/astral-sh/uv/releases/download/0.12.5/uv-aarch64-apple-darwin.tar.gz"
-url_api = "https://api.github.com/repos/astral-sh/uv/releases/assets/514850968"
+checksum = "sha256:301f72afaf54060f92da7016cb0115bd077f43a9c8e39c1d8170a0bac80fd398"
+url = "https://github.com/astral-sh/uv/releases/download/0.12.9/uv-aarch64-apple-darwin.tar.gz"
+url_api = "https://api.github.com/repos/astral-sh/uv/releases/assets/540200930"
 provenance = "github-attestations"
 
 [tools.uv."platforms.macos-x64"]
-checksum = "sha256:b3b2137477cf96c9686ebfb71524614cec780c673fd73e59bce099aef02e70e8"
-url = "https://github.com/astral-sh/uv/releases/download/0.12.5/uv-x86_64-apple-darwin.tar.gz"
-url_api = "https://api.github.com/repos/astral-sh/uv/releases/assets/514851078"
+checksum = "sha256:e1ca175824f1056589ce9908f7631879ebc3c36535b5e63dc06510beb370b4c1"
+url = "https://github.com/astral-sh/uv/releases/download/0.12.9/uv-x86_64-apple-darwin.tar.gz"
+url_api = "https://api.github.com/repos/astral-sh/uv/releases/assets/540201016"
 provenance = "github-attestations"
 
 [tools.uv."platforms.windows-x64"]
-checksum = "sha256:4c4d49d8738847d9b71ba319e49a5688c93eac0fe6204b1df24e98528dddf39a"
-url = "https://github.com/astral-sh/uv/releases/download/0.12.5/uv-x86_64-pc-windows-msvc.zip"
-url_api = "https://api.github.com/repos/astral-sh/uv/releases/assets/514851084"
+checksum = "sha256:ddbfcee1ac615a0499f6aa97b5ec8ebdf3ee4a7714a48055ec2ba0030e3cf810"
+url = "https://github.com/astral-sh/uv/releases/download/0.12.9/uv-x86_64-pc-windows-msvc.zip"
+url_api = "https://api.github.com/repos/astral-sh/uv/releases/assets/540201024"
 provenance = "github-attestations"
 
 [[tools.zizmor]]