Adicionar contagem de colunas de ocorrências

Tenho uma tabela no SQL Server chamada df encontrada aqui :

-- Parameters
DECLARE @Year INT = 2020; --, @Country varchar(50)= 'Brazil';

WITH ModeData AS (
    SELECT country, 
           a.Mode
    FROM df
    CROSS APPLY (
        SELECT TOP 1 Mode, COUNT(*) AS cnt
        FROM (VALUES (val1), (val2), (val3)) AS t(Mode)
        GROUP BY Mode
        ORDER BY COUNT(*) DESC
    ) a
  where year=@year --and  country=@country 
)

-- Calculate proportions and map modes to labels
, Proportions AS (
    SELECT country, 
           CASE 
               WHEN Mode = 1 THEN 'Very Dissatisfied'
               WHEN Mode = 2 THEN 'Dissatisfied'
               WHEN Mode = 3 THEN 'Neutral'
               WHEN Mode = 4 THEN 'Satisfied'
               WHEN Mode = 5 THEN 'Very Satisfied'
           END AS SatisfactionLevel,
           COUNT(*) * 1.0 / SUM(COUNT(*)) OVER (PARTITION BY country) AS Proportion
    FROM ModeData
    GROUP BY country, Mode
)

-- Pivot the results to get each satisfaction level as a column
SELECT country, 
       [Very Dissatisfied], 
       [Dissatisfied], 
       [Neutral], 
       [Satisfied], 
       [Very Satisfied]
FROM Proportions
PIVOT (
    MAX(Proportion)
    FOR SatisfactionLevel IN ([Very Dissatisfied], [Dissatisfied], [Neutral], [Satisfied], [Very Satisfied])
) AS p
ORDER BY country;

A tabela resultante é:

Quero calcular a contagem de cada país. Quantas linhas tem cada país na tabela df e adicionar essa contagem como uma coluna extra na tabela resultante. Idealmente e com base nos dados do exemplo de brinquedo, o resultado que quero que pareça: