tmt: use brewed pydantic-core/rpds-py dependency

Signed-off-by: Rui Chen <[email protected]>

Author: chenrui333

Formula/t/tmt.rb

@@ -16,10 +16,11 @@ class Tmt < Formula
     sha256 cellar: :any_skip_relocation, x86_64_linux:  "afb0e613980f7ca83701ad9bd072f419008163d75b5bcbc147e958e6d143bbc2"
   end
 
-  depends_on "rust" => :build # for rpds-py
   depends_on "beakerlib"
-  depends_on "certifi"
+  depends_on "certifi" => :no_linkage
+  depends_on "pydantic-core" => :no_linkage
   depends_on "[email protected]"
+  depends_on "rpds-py" => :no_linkage
 
   resource "annotated-types" do
     url "https://files.pythonhosted.org/packages/ee/67/531ea369ba64dcff5ec9c3402f9f51bf748cec26dde048a2f973a4eea7f5/annotated_types-0.7.0.tar.gz"
@@ -111,11 +112,6 @@ class Tmt < Formula
     sha256 "1da1c82b0fc140bb0103bc1441ffe062154c8d38491189751ee00fd8ca65ce74"
   end
 
-  resource "pydantic-core" do
-    url "https://files.pythonhosted.org/packages/df/18/d0944e8eaaa3efd0a91b0f1fc537d3be55ad35091b6a87638211ba691964/pydantic_core-2.41.4.tar.gz"
-    sha256 "70e47929a9d4a1905a67e4b687d5946026390568a8e952b92824118063cee4d5"
-  end
-
   resource "pygments" do
     url "https://files.pythonhosted.org/packages/b0/77/a5b8c569bf593b0140bde72ea885a803b82086995367bf2037de0159d924/pygments-2.19.2.tar.gz"
     sha256 "636cb2477cec7f8952536970bc533bc43743542f70392ae026374600add5b887"
@@ -131,21 +127,11 @@ class Tmt < Formula
     sha256 "dbba0bac56e100853db0ea71b82b4dfd5fe2bf6d3754a8893c3af500cec7d7cf"
   end
 
-  resource "rpds-py" do
-    url "https://files.pythonhosted.org/packages/48/dc/95f074d43452b3ef5d06276696ece4b3b5d696e7c9ad7173c54b1390cd70/rpds_py-0.28.0.tar.gz"
-    sha256 "abd4df20485a0983e2ca334a216249b6186d6e3c1627e106651943dbdb791aea"
-  end
-
   resource "ruamel-yaml" do
     url "https://files.pythonhosted.org/packages/9f/c7/ee630b29e04a672ecfc9b63227c87fd7a37eb67c1bf30fe95376437f897c/ruamel.yaml-0.18.16.tar.gz"
     sha256 "a6e587512f3c998b2225d68aa1f35111c29fad14aed561a26e73fab729ec5e5a"
   end
 
-  resource "typing-extensions" do
-    url "https://files.pythonhosted.org/packages/72/94/1a15dd82efb362ac84269196e94cf00f187f7ed21c242792a923cdb1c61f/typing_extensions-4.15.0.tar.gz"
-    sha256 "0cea48d173cc12fa28ecabc3b837ea3cf6f38c6d1136f85cbaaf598984861466"
-  end
-
   resource "typing-inspection" do
     url "https://files.pythonhosted.org/packages/55/e3/70399cb7dd41c10ac53367ae42139cf4b1ca5f36bb3dc6c9d33acdb43655/typing_inspection-0.4.2.tar.gz"
     sha256 "ba561c48a67c5958007083d386c3295464928b01faa735ab8547c5692e87f464"

pypi_formula_mappings.json

@@ -1018,7 +1018,7 @@
     "extra_packages": ["greenlet", "pyee"]
   },
   "tmt": {
-    "exclude_packages": ["certifi"]
+    "exclude_packages": ["certifi", "pydantic-core", "rpds-py"]
   },
   "toot": {
     "package_name": "toot[images,richtext]",