let's give this a shot?

Jenkinsfile

@@ -21,9 +21,17 @@ node ('windows') {
         bat """pyinstaller --noconfirm --onefile --windowed  "./main.py" """
     }
 
-    // Wrap Up - Archive the Generated Executables, Tear Down the Build System.
-    stage('Archive/Teardown') {
-        archiveArtifacts artifacts: "dist\\*.exe"
+    // Wrap Up - Archive the Generated Executables
+    stage('Archive') {
+        // Provide Credentials to Upload to Gitea
+        withCredentials([
+            usernamePassword(credentialsId: 'gitea-jenkinsbot',
+            usernameVariable: 'GITEA_USER',
+            passwordVariable: 'GITEA_PASS')
+        ]) {
+            // Publish the Latest 
+            bat "python publish_package.py"
+        }
     }
 
 }

publish_package.py

@@ -0,0 +1,39 @@
+################################################################################
+"""
+Publish the EXE as a package to Gitea.
+"""
+################################################################################
+
+import os
+import requests
+
+OWNER = "jenkinsbot"
+PKG_NAME = "ComputerKeeper-BUILD"
+PKG_VERSION = "latest"
+FILE_NAME = "main.exe"
+
+AUTH_USER = os.getenv("GITEA_USER")
+AUTH_PASS = os.getenv("GITEA_PASS")
+
+HOST = "https://gitea.stanleysolutionsnw.com"
+
+def main():
+    """Attempt Deleting the Package, then Add the New Package with File."""
+    s = requests.Session()
+    s.auth = (AUTH_USER, AUTH_PASS)
+    # Delete Package
+    try:
+        s.delete(
+            f"{HOST}/api/packages/{OWNER}/generic/{PKG_NAME}/{PKG_VERSION}"
+        )
+    except Exception:
+        # Intentionally Overlook Issues Here
+        pass
+    # Add New Package
+    s.put(
+        (
+            f"{HOST}/api/packages/{OWNER}/generic/{PKG_NAME}/{PKG_VERSION}/" +
+            FILE_NAME
+        ),
+        data=open(f"dist/{FILE_NAME}", 'rb').read(),
+    )