Backport to 1.13: bump Documenter to 1.16.1 (#60216)

Backport of PR #60215.

I would target `backports-release-1.13` but that seems outdated compared
to `release-1.13`.

Author: fingolfin

deps/jlutilities/documenter/Manifest.toml

@@ -53,10 +53,10 @@ version = "0.9.5"
 
 [[deps.Documenter]]
 deps = ["ANSIColoredPrinters", "AbstractTrees", "Base64", "CodecZlib", "Dates", "DocStringExtensions", "Downloads", "Git", "IOCapture", "InteractiveUtils", "JSON", "Logging", "Markdown", "MarkdownAST", "Pkg", "PrecompileTools", "REPL", "RegistryInstances", "SHA", "TOML", "Test", "Unicode"]
-git-tree-sha1 = "352b9a04e74edd16429aec79f033620cf8e780d4"
+git-tree-sha1 = "b37458ae37d8bdb643d763451585cd8d0e5b4a9e"
 registries = "General"
 uuid = "e30172f5-a6a5-5a46-863b-614d45cd2de4"
-version = "1.15.0"
+version = "1.16.1"
 
 [[deps.Downloads]]
 deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"]
@@ -97,10 +97,10 @@ version = "2.51.3+0"
 
 [[deps.IOCapture]]
 deps = ["Logging", "Random"]
-git-tree-sha1 = "b6d6bfdd7ce25b0f9b2f6b3dd56b2673a66c8770"
+git-tree-sha1 = "0ee181ec08df7d7c911901ea38baf16f755114dc"
 registries = "General"
 uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89"
-version = "0.2.5"
+version = "1.0.0"
 
 [[deps.InteractiveUtils]]
 deps = ["Markdown"]
@@ -116,10 +116,10 @@ version = "1.7.1"
 
 [[deps.JSON]]
 deps = ["Dates", "Logging", "Parsers", "PrecompileTools", "StructUtils", "UUIDs", "Unicode"]
-git-tree-sha1 = "eb04df293213df64ddd720c86de3c431f5f8ccf1"
+git-tree-sha1 = "5b6bb73f555bc753a6153deec3717b8904f5551c"
 registries = "General"
 uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
-version = "1.2.1"
+version = "1.3.0"
 
     [deps.JSON.extensions]
     JSONArrowExt = ["ArrowTypes"]
@@ -192,7 +192,7 @@ version = "0.1.2"
 
 [[deps.MozillaCACerts_jll]]
 uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
-version = "2025.9.9"
+version = "2025.11.4"
 
 [[deps.NetworkOptions]]
 uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
@@ -344,9 +344,9 @@ uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
 version = "1.67.1+0"
 
 [[deps.p7zip_jll]]
-deps = ["Artifacts", "Libdl"]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
 uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
-version = "17.6.0+0"
+version = "17.7.0+0"
 
 [registries.General]
 url = "https://github.com/JuliaRegistries/General.git"