diff --git a/.github/workflows/bat.yml b/.github/workflows/bat.yml
index 103fb59..e9796a5 100644
--- a/.github/workflows/bat.yml
+++ b/.github/workflows/bat.yml
@@ -92,6 +92,17 @@ jobs:
         with:
           release: ${{ matrix.release }}
           products: ${{ matrix.products }}
+      - name: Install additional products
+        if: matrix.os != 'windows-latest'
+        uses: ./
+        with:
+          release: ${{ matrix.release }}
+          products: Image_Processing_Toolbox
+      - name: Check additional product was installed
+        if: matrix.os != 'windows-latest'
+        uses: matlab-actions/run-command@v2
+        with:
+          command: assert(any(strcmp({ver().Name},'Image Processing Toolbox')))
       - name: Call setup MATLAB again with different release # should not error as in issue 130
         uses: ./
         with:
diff --git a/src/install.ts b/src/install.ts
index 9830284..3e9eac5 100644
--- a/src/install.ts
+++ b/src/install.ts
@@ -38,7 +38,7 @@ export async function install(platform: string, architecture: string, release: s
             matlabArch = "x64";
         }
 
-        let [destination, alreadyExists]: [string, boolean] = await matlab.getToolcacheDir(platform, releaseInfo);
+        let [destination]: [string, boolean] = await matlab.getToolcacheDir(platform, releaseInfo);
         let cacheHit = false;
 
         if (useCache) {
@@ -46,7 +46,7 @@ export async function install(platform: string, architecture: string, release: s
             cacheHit = await cache.restoreMATLAB(releaseInfo, platform, matlabArch, products, destination, supportFilesDir);
         }
 
-        if (!alreadyExists && !cacheHit) {
+        if (!cacheHit) {
             const mpmPath: string = await mpm.setup(platform, matlabArch);
             await mpm.install(mpmPath, releaseInfo, products, destination);
             core.saveState(State.InstallSuccessful, 'true');
diff --git a/src/install.unit.test.ts b/src/install.unit.test.ts
index 4e12666..1e44088 100644
--- a/src/install.unit.test.ts
+++ b/src/install.unit.test.ts
@@ -79,11 +79,11 @@ describe("install procedure", () => {
         expect(setOutputMock).toHaveBeenCalledTimes(1);
     });
 
-    it("NoOp on existing install", async () => {
+    it("re-calls MPM install even if MATLAB already exists in toolcache", async () => {
         matlabGetToolcacheDirMock.mockResolvedValue(["/opt/hostedtoolcache/MATLAB/9.13.0/x64", true]);
         await expect(doInstall()).resolves.toBeUndefined();
-        expect(mpmInstallMock).toHaveBeenCalledTimes(0);
-        expect(saveStateMock).toHaveBeenCalledTimes(0);
+        expect(mpmInstallMock).toHaveBeenCalledTimes(1);
+        expect(saveStateMock).toHaveBeenCalledTimes(1);
         expect(addPathMock).toHaveBeenCalledTimes(1);
         expect(setOutputMock).toHaveBeenCalledTimes(1);
     });
diff --git a/src/mpm.ts b/src/mpm.ts
index ccd502e..910381f 100644
--- a/src/mpm.ts
+++ b/src/mpm.ts
@@ -78,14 +78,33 @@ export async function install(mpmPath: string, release: matlab.Release, products
     }
     mpmArguments = mpmArguments.concat("--products", ...parsedProducts);
 
-    const exitCode = await exec.exec(mpmPath, mpmArguments).catch(async e => {
-        // Fully remove failed MATLAB installation for self-hosted runners
+    let output = "";
+    const options = {
+        listeners: {
+            stdout: (data: Buffer) => {
+                const text = data.toString();
+                output += text;
+                process.stdout.write(text);
+            },
+            stderr: (data: Buffer) => {
+                const text = data.toString();
+                output += text;
+                process.stderr.write(text);
+            },
+        },
+        ignoreReturnCode: true,
+        silent: true,
+    };
+
+    const exitCode = await exec.exec(mpmPath, mpmArguments, options).catch(async e => {
         await rmRF(destination);
         throw e;
     });
-    if (exitCode !== 0) {
+
+    if (exitCode !== 0 && !output.toLowerCase().includes("already installed")) {
         await rmRF(destination);
         return Promise.reject(Error(`Script exited with non-zero code ${exitCode}`));
     }
-    return
+
+    return;
 }
diff --git a/src/mpm.unit.test.ts b/src/mpm.unit.test.ts
index 37d2cf5..b72da87 100644
--- a/src/mpm.unit.test.ts
+++ b/src/mpm.unit.test.ts
@@ -180,4 +180,20 @@ describe("mpm install", () => {
         await expect(mpm.install(mpmPath, releaseInfo, products, destination)).rejects.toBeDefined();
         expect(rmRFMock).toHaveBeenCalledWith(destination);
     });
+
+    it("does not reject when mpm exits non-zero but reports already installed", async () => {
+        const destination = "/opt/matlab";
+        const products = ["MATLAB", "Compiler"];
+
+        // Simulate mpm writing the "already installed" message to stdout and returning non-zero
+        execMock.mockImplementation((cmd: string, args: string[], options?: exec.ExecOptions) => {
+            if (options && options.listeners && typeof options.listeners.stdout === 'function') {
+                options.listeners.stdout(Buffer.from("All specified products are already installed."));
+            }
+            return Promise.resolve(1);
+        });
+
+        await expect(mpm.install(mpmPath, releaseInfo, products, destination)).resolves.toBeUndefined();
+        expect(rmRFMock).not.toHaveBeenCalled();
+    });
 });