Sorry but if you are dual citizen and renounce your Canada citizenship you won't be a PR, you will be without status in Canada.
In fact one of the eligibility criteria is to be outside Canada when you apply for renunciation. If you renounce and want to resume your citizenship you will need to go through the PR process again.
https://www.canada.ca/en/immigration-refugees-citizenship/services/canadian-citizenship/renounce-canadian-citizenship.html
If you renounce your Canadian citizenship, you lose all the rights and privileges of being a Canadian citizen and will have no status in Canada. This means that if you wish to return to Canada permanently, you will have to apply for a permanent resident visa. If you wish to return to Canada temporarily (to visit, work or study), you will have to apply for a temporary resident visa, if applicable.
Eligibility
To be eligible to apply to renounce your Canadian citizenship, you must:
- be a citizen of a country other than Canada or become a citizen of a country other than Canada if your application to renounce is approved
- not live in Canada
- be at least 18 years old
- not be a threat to Canada’s security or part of a pattern of criminal activity
- not be prevented from understanding the significance of renouncing your Canadian citizenship by reason of having a mental disability and
- not be subject to revocation of citizenship proceedings
You can remind PR in Canada only if your citizenship was revoked and you meet certain conditions.
https://www.canada.ca/en/immigration-refugees-citizenship/corporate/publications-manuals/operational-bulletins-manuals/canadian-citizenship/acquisition-loss/revocation.html
If the person’s citizenship was revoked due to false representation or fraud or knowingly concealing material circumstances during the citizenship process only (e.g., lying about residence in Canada during the relevant period),
the person becomes a permanent resident as per subsection 46(2) of the Immigration and Refugee Protection Act (IRPA). Revocation in such situations does not itself jeopardize the right of the person to remain in Canada; however, the person must meet all obligations under the IRPA. For the residency obligation under the IRPA, the five-year period begins on the date the person becomes a permanent resident. If the person’s citizenship was revoked on the grounds they became a permanent resident by false representation or fraud or knowingly concealed material circumstances, the person will revert to foreign national status. If the false representation or fraud or concealing of material circumstances was with respect to a fact described in sections 34, 35 or 37 of the IRPA, the Federal Court, in certain cases, may also declare the person inadmissible and issue a removal order.
The OP question still unanswered and would like to know that too.