Cannot register a custom component and global context in next.js

I have a project in Plasmic with next.js. I used your guides to create a global context and a custom component. I cannot see any errors and I cannot see my custom component or global context in the Studio.
Here are extracts from the project:

src/context/PlasmicGlobalContext.tsx

import { DataProvider, GlobalActionsProvider } from '@plasmicapp/loader-nextjs';
import { PropsWithChildren, useMemo } from 'react';

export function PlasmicGlobalContext({ children }: PropsWithChildren) {
    const actions = useMemo(() => {
        return {};
    }, []);

    return <GlobalActionsProvider contextName="PlasmicGlobalContext" actions={actions}>
        <DataProvider name="global" data={{ test: 1 }}>
            {children}
        </DataProvider>
    </GlobalActionsProvider>;
}

src/plasmic-init.ts

import { initPlasmicLoader } from '@plasmicapp/loader-nextjs/react-server-conditional';
import { PlasmicGlobalContext } from './context/PlasmicGlobalContext';
export const PLASMIC = initPlasmicLoader({
    projects: [
        {
            id: 'sitWCCBXbJ1DALqodCF93E',  // ID of a project you are using
            token: 'CrPPNDlsvIP8u6sNjH2FzJ1szliK4e2T19lBB6K9O4iT7b2DjSrBKDK5weAXkE8nctO1tr1NFsgHJQSucA',  // API token for that project
        },
    ],
    // Fetches the latest revisions, whether or not they were unpublished!
    // Disable for production to ensure you render only published changes.
    preview: true,
});

PLASMIC.registerGlobalContext(PlasmicGlobalContext, {
    name: 'PlasmicGlobalContext',
    props: {},
    providesData: true,
    globalActions: {},
});

src/plasmic-init-client.ts

'use client';

import { PlasmicRootProvider } from '@plasmicapp/loader-nextjs';
import { PLASMIC } from './plasmic-init';
import { HelloWorld } from './components/HelloWorld';

PLASMIC.registerComponent(HelloWorld, {
    name: 'HelloWorld',
    props: {
        verbose: 'boolean',
        children: 'slot',
    },
});
export function ClientPlasmicRootProvider(props: Omit<React.ComponentProps<typeof PlasmicRootProvider>, 'loader'>) {
    return <PlasmicRootProvider loader={PLASMIC} {...props}></PlasmicRootProvider>;
}

I also tried to create one more project via `create-plasmic-app` to automate the process and avoid manual mistakes - the same, result